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Display information for equation id:math.1965.36 on revision:1965

* Page found: Symplektische Struktur des Phasenraums (eq math.1965.36)

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Symplektische Struktur des Phasenraums Eq: math.1965.36

Hash: 0cf7ad5306fbc4859754cea16016f52c

TeX (original user input):

{{M}_{3}}^{T}J{{M}_{3}}={{\left( {{M}_{1}}{{M}_{2}} \right)}^{T}}J\left( {{M}_{1}}{{M}_{2}} \right)={{M}_{2}}^{T}{{M}_{1}}^{T}J{{M}_{1}}{{M}_{2}}={{M}_{2}}^{T}J{{M}_{2}}=J

TeX (checked):

{{M}_{3}}^{T}J{{M}_{3}}={{\left({{M}_{1}}{{M}_{2}}\right)}^{T}}J\left({{M}_{1}}{{M}_{2}}\right)={{M}_{2}}^{T}{{M}_{1}}^{T}J{{M}_{1}}{{M}_{2}}={{M}_{2}}^{T}J{{M}_{2}}=J

LaTeXML (experimental; uses MathML) rendering

MathML (14.758 KB / 1.84 KB) :

{\displaystyle{\displaystyle{{M}_{3}}^{T}J{{M}_{3}}={{\left({{M}_{1}}{{M}_{2}}% \right)}^{T}}J\left({{M}_{1}}{{M}_{2}}\right)={{M}_{2}}^{T}{{M}_{1}}^{T}J{{M}_% {1}}{{M}_{2}}={{M}_{2}}^{T}J{{M}_{2}}=J}}

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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{M}_{3}}^{T}J{{M}_{3}}={{\left({{M}_{1}}{{M}_{2}}%
\right)}^{T}}J\left({{M}_{1}}{{M}_{2}}\right)={{M}_{2}}^{T}{{M}_{1}}^{T}J{{M}_%
{1}}{{M}_{2}}={{M}_{2}}^{T}J{{M}_{2}}=J}}</annotation>
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MathML (1.583 KB / 282 B) :

{M_{3}}^{T} J M_{3} = {(M_{1} M_{2})}^{T} J (M_{1} M_{2}) = {M_{2}}^{T} {M_{1}}^{T} J M_{1} M_{2} = {M_{2}}^{T} J M_{2} = J

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>J</mi><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>J</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><msup><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>J</mi><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><msup><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>J</mi><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mi>J</mi></mstyle></mrow></math>

Translations to Computer Algebra Systems

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Identifiers

$M_{3}$

$T$

$J$

$M_{3}$

$M_{1}$

$M_{2}$

$T$

$J$

$M_{1}$

$M_{2}$

$M_{2}$

$T$

$M_{1}$

$T$

$J$

$M_{1}$

$M_{2}$

$M_{2}$

$T$

$J$

$M_{2}$

$J$

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